820717125 has 32 divisors (see below), whose sum is σ = 1369804800. Its totient is φ = 436392000.

The previous prime is 820717123. The next prime is 820717129. The reversal of 820717125 is 521717028.

It is not a de Polignac number, because 820717125 - 2¹ = 820717123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820717123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127740 + ... + 134010.

It is an arithmetic number, because the mean of its divisors is an integer number (42806400).

Almost surely, 2^820717125 is an apocalyptic number.

It is an amenable number.

820717125 is a deficient number, since it is larger than the sum of its proper divisors (549087675).

820717125 is a wasteful number, since it uses less digits than its factorization.

820717125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 820717125 is about 28648.1609357390. The cubic root of 820717125 is about 936.2629372610.

The spelling of 820717125 in words is "eight hundred twenty million, seven hundred seventeen thousand, one hundred twenty-five".